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Statistical Models of Shape

Optimisation and Evaluation

Authors: Davies, Rhodri, twining, carole, Taylor, Chris

  • Addresses one of the key issues in shape modelling: that of establishing a meaningful correspondence between a set of shapes
  • Uses a novel approach to establishing correspondence by casting model-building as an optimisation problem
  • Includes practical examples of applications for both 2D and 3D sets of shapes
  • Full implementation details, previously unpublished, are provided
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eBook $129.00
price for USA
  • ISBN 978-1-84800-138-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $169.00
price for USA
  • ISBN 978-1-84800-137-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4471-6042-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Statistical models of shape, learnt from a set of examples, are a widely-used tool in image interpretation and shape analysis. Integral to this learning process is the establishment of a dense groupwise correspondence across the set of training examples.

This book gives a comprehensive and up-to-date account of the optimisation approach to shape correspondence, and the question of evaluating the quality of the resulting model in the absence of ground-truth data. It begins with a complete account of the basics of statistical shape models, for both finite and infinite-dimensional representations of shape, and includes linear, non-linear, and kernel-based approaches to modelling distributions of shapes. The optimisation approach is then developed, with a detailed discussion of the various objective functions available for establishing correspondence, and a particular focus on the Minimum Description Length approach. Various methods for the manipulation of correspondence for shape curves and surfaces are dealt with in detail, including recent advances such as the application of fluid-based methods.

This complete and self-contained account of the subject area brings together results from a fifteen-year program of research and development. It includes proofs of many of the basic results, as well as mathematical appendices covering areas which may not be totally familiar to some readers. Comprehensive implementation details are also included, along with extensive pseudo-code for the main algorithms. Graduate students, researchers, teachers, and professionals involved in either the development or the usage of statistical shape models will find this an essential resource.

Table of contents (9 chapters)

Buy this book

eBook $129.00
price for USA
  • ISBN 978-1-84800-138-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $169.00
price for USA
  • ISBN 978-1-84800-137-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • ISBN 978-1-4471-6042-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Statistical Models of Shape
Book Subtitle
Optimisation and Evaluation
Authors
Copyright
2008
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84800-138-1
DOI
10.1007/978-1-84800-138-1
Hardcover ISBN
978-1-84800-137-4
Softcover ISBN
978-1-4471-6042-7
Edition Number
1
Number of Pages
XII, 302
Topics